 | James Ryan - 1824 - 550 σελίδες
...proper fraction'. § II. Method of finding the Greatest Common Divisor of two or more Quantities. 130. The greatest common divisor of two or more quantities, is the greatest quantity which divides each of them exactly. Thus, the greatest common divisor of the quantities 16«363, 12«36<*... | |
 | James Ryan, Robert Adrain - 1824 - 542 σελίδες
...proper frac* tion. § IF. Method of finding the Greatest Common Divisor of two or more Quantities. 130. The greatest common divisor of two or more quantities, is the greatest quantity which divides each of them exactly. Thus, the greatest common divisor of the quantities 16a2i°, 12a24o... | |
 | Elias Loomis - 1846 - 376 σελίδες
...divided ly their sum. 30 SECTION XV. GREATEST COMMON DIVISOR.— PERMUTATIONS AND COMBINATIONS. (249.) THE greatest common divisor of two or more quantities is the greatest factor which is common to each of the quantities. tPROPOSITION. The greatest common divisor of two... | |
 | Elias Loomis - 1846 - 380 σελίδες
...divided by their sum. 30 SECTION XV. GREATEST COMMON DIVISOR.— PERMUTATIONS AND COMBINATIONS. (249.) THE greatest common divisor of two or more quantities is the greatest factor which is common to each of the quantities. • PROPOSITION. The greatest common divisor of two... | |
 | Elias Loomis - 1855 - 356 σελίδες
...SECTION XV. GREATEST COMMON DIVISOR.— CONTINUED FRACTIONS.— PERMUTATIONS AND COMBINATIONS. (249.) The greatest common divisor of two or more quantities is the greatest factor which is common to each of the quantities. THEOREM. The greatest common divisor of two quantities... | |
 | John Fair Stoddard, William Downs Henkle - 1859 - 538 σελίδες
...quantities is one that is exactly contained in each of them. (129.) The greatest common measure or greatest common divisor of two or more quantities is the greatest quantity that is exactly contained in each of them. • THEOREM I. (13U.) If a quantity measures another quantity... | |
 | Benjamin Greenleaf - 1863 - 338 σελίδες
...remainder. Hence, any factor common to two or more quantities is a common divisor of those quantities. 96, The GREATEST COMMON DIVISOR of two or more quantities is the greatest quantity that will divide each of them without a remainder. Hence, the greatest common divisor of two or more quantities... | |
 | Horatio Nelson Robinson - 1864 - 444 σελίδες
...— 6=x, 6 — c=y, and c — a=z, prove that 2(o — b*)'(b — c)' +2(a— 6)'(c— a)'+2C6— c)'( THE GREATEST COMMON DIVISOR 97. A Common Divisor of...algebraic or its arithmetical value. Thus, if x — 3 and a;"-(-4x-)-2 are the prime factors common to two or more quantities, then according to the above definition,... | |
 | Benjamin Greenleaf - 1864 - 420 σελίδες
...Also, when quantities are prime to each other, they have no common measure greater than unity. 104. The GREATEST COMMON DIVISOR of two or more quantities is the greatest quantity that will divide each of them without a remainder. By the greatest of two or more algebraic quantities, it may... | |
 | Paul Allen Towne - 1865 - 314 σελίδες
...4). 12. Factor 7a^— 7x — 84, 5*3- 5a; — 60 and x3 — 13x2 + 42a; GREATEST COMMON DIVISOR. 81. The Greatest Common Divisor of two or more quantities is the greatest quantity that will divide each of them without a remainder. Thus, xy is the greatest common divisor of x3y and xy'. 82.... | |
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Measure, of two or more quantities, is the greatest quantity that will exactly divide each of them. 
